Understanding Exponents and Solving Equations

The video tutorial explains how to solve an equation for x by combining like terms and using exponent rules. It starts by introducing the equation and then demonstrates how to add like terms. The tutorial explains the multiplication of exponents with the same base, leading to the solution where the exponents are set equal to each other. The final solution is x equals 11, with the correct answer being confirmed.

What is the initial expression given in the problem?

• 2 to the power of 11 plus 2 to the power of 11

• 2 to the power of 10 plus 2 to the power of 10

• 2 to the power of 10 times 2 to the power of 10

• 2 to the power of 11 times 2 to the power of 11

How can the expression 2 to the power of 10 plus 2 to the power of 10 be simplified?

• By adding the exponents

• By subtracting the exponents

• By multiplying the exponents

• By recognizing it as 2 times 2 to the power of 10

What property of exponents is used when the bases are the same?

• Multiply the exponents

• Add the exponents

• Subtract the exponents

• Divide the exponents

What is the final value of x in the equation 2 to the 11th equals 2 to the x?

• 11

• 10

• 13

• 12

Which of the following is the correct solution for x?

• x = 12

• x = 10

• x = 11

• x = 13